固结弹性薄层的空间轴对称接触问题  

Axisymmetric Contact Problem of the Bonded Elastic Thin Layer

作　　者：朱凯[1] 张旭[1] 马清[1] 

机构地区：[1]遵义师范学院工学院,贵州遵义563002

出　　处：《遵义师范学院学报》2016年第1期107-110,113,共5页Journal of Zunyi Normal University

摘　　要：基于弹性理论研究了刚性基底上固结弹性薄层的空间轴对称接触问题,采用合理假设位移分段函数的方法,求解弹性薄层的应力分量,最终获得能满足所有边界条件应力的解析解,避免了复杂的数学理论,同时弥补了三维接触问题中运用Johnson假设进行求解所带来的缺陷。The axisymmetric contact problem for the elastic thin layer bonded to rigid foundation is concerned on the basis of the theory of elasticity. A method with the application of the displacement piecewise function is presented to get the stress components of the elastic thin layer, and analytical solution of the stress components is obtained finally. The method is simple and the defect of the application of Johnson’s assumption to space problems is remedied.

关 键 词：弹性薄层 空间轴对称 应力分量 分段函数 Johnson假设 

分 类 号：O343.3[理学—固体力学]